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28 September, 21:01

In ΔGHI, g = 96 cm, ∠G=53° and ∠H=90°. Find the length of i, to the nearest 10th of a centimeter.

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  1. 28 September, 21:58
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    I = 72 cm approximately

    Step-by-step explanation:

    ΔGHI is a right angle triangle because,

    ∠H=90°.

    So g = 96 cm, ∠G=53° and ∠H=90.

    The length of I will be calculated using

    ∠i = 180 - (90+53)

    ∠i = 180-143

    ∠i = 37

    Tan ∠i = opposite/adjacent

    Tan 37 = I/96

    0.7536 * 96 = I

    72.3456 = I

    I = 72 cm approximately
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